Vol. 87, No. 1, 1980

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Finite groups having an involution centralizer with a 2-component of type PSL(3, 3)

Morton Edward Harris

Vol. 87 (1980), No. 1, 69–74
Abstract

A finite group L is said to be quasisimple if L = Land L∕Z(L) is simple and is said to be 2-quasisimple if L = Land L∕O(L) is quasisimple. Let G denote a finite group. Then E(G) is the subgroup of G generated by all subnormal quasisimple subgroups of G and F(G) = E(G)F(G) where F(G) is the Fitting subgroup of G. Also a subnormal quasisimple subgroup of G is called a component of G and a subnormal 2-quasisimple subgroup of G is called a 2-component of G.

Mathematical Subject Classification 2000
Primary: 20D05
Milestones
Received: 21 June 1978
Published: 1 March 1980
Authors
Morton Edward Harris